Three-dimensional Particle-in-Cell Modeling of Partially Magnetized Plasma Instabilities

The development of a three-dimensional (3D) explicit, momentum-conserving, electrostatic particle-in-cell (PIC) code will be discussed. The two simulations of interest feature applied electric and magnetic fields in a cross-field configuration. One case is a 3D periodic box, while the other will be the same, except for a grounded wall in the direction along the magnetic field. Previously developed 3D kinetic theories for kinetic instabilities in cross-field discharges, such as electron cyclotron drift instability and modified two-stream instability, are used to verify the simulation results. The results will include Fourier analysis of the electric field as well as various fluid quantities over time.